Difference between revisions of "Rayleigh"
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| − | [[ | + | [[Category:Distribution Functions]] |
| − | [[Category: | + | [[Category:Continuous distributions]] |
| + | [[Category:Univariate distributions]] | ||
| + | [[Category:Semi-bounded distributions]] | ||
| + | [[Category: Distribution Variations library functions]] | ||
| + | |||
| − | = Rayleigh(mode) = | + | == Rayleigh(mode) == |
The Rayleigh distribution results when you have two orthogonal components that are each normally distributed, such as might be the case with Wind Speed. The length of the vector itself will then have a Rayleigh distribution. | The Rayleigh distribution results when you have two orthogonal components that are each normally distributed, such as might be the case with Wind Speed. The length of the vector itself will then have a Rayleigh distribution. | ||
| − | The Rayleigh is a special case of the [[Weibull]] distribution -- | + | The Rayleigh is a special case of the [[Weibull]] distribution -- <code>Weibull(2, sqrt(2)*mode)</code>. It also coincides with [[ChiSquared|Chi-Squared]], conditional exponential, and the Rice distributions. |
| − | = Library = | + | == Library == |
| + | Distribution Variations library ([[media:Distribution Variations.ana|Distribution Variations.ana]]) | ||
| + | :Use [[File menu|File]] → '''Add Library...''' to add this library | ||
| − | Distribution Variations.ana | + | ==See Also== |
| + | * [[media:Distribution Variations.ana | Distribution Variations.ana]] | ||
| + | * [[Weibull]] | ||
| + | * [[ChiSquared]] | ||
| + | * [[Distribution Densities Library]] | ||
Latest revision as of 19:29, 14 February 2025
Rayleigh(mode)
The Rayleigh distribution results when you have two orthogonal components that are each normally distributed, such as might be the case with Wind Speed. The length of the vector itself will then have a Rayleigh distribution.
The Rayleigh is a special case of the Weibull distribution -- Weibull(2, sqrt(2)*mode). It also coincides with Chi-Squared, conditional exponential, and the Rice distributions.
Library
Distribution Variations library (Distribution Variations.ana)
- Use File → Add Library... to add this library
See Also
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